SFB Extra Seminar via Zoom

We review transport phenomena generated by the scale anomaly in interacting quantum field theories of massless particles. We discuss anomaly-induced thermoelectric effects in the background of the magnetic field in the presence of the temperature gradient and the scale electromagnetic effects that appear in the vacuum in the gravitational background. In systems with boundaries, the scale anomaly induces non-quantized electric edge current, which is related to the Schwinger effect and polynomial charge screening in conformal field theories. The magnitude of all these anomalous effects is proportional to the beta function associated with the renormalization of electric charge. We also present new results in one spatial dimension, in which the scale anomaly leads to a violation of the thermodynamic Luttinger relation. The relevance to Dirac-Weyl semimetals and spin-Hall systems is briefly discussed.

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